Results 1 to 10 of about 17,045 (171)

Multiple Soliton Solutions of Some Nonlinear Partial Differential Equations

Universal Journal of Mathematics and Applications, 2018
In this paper, we implemented an improved tanh function Method for multiple soliton solutions of new coupled Konno-Oono equation and extended (3+1)-dimensional KdV-type equation.
İbrahim Enam İnan
doaj   +3 more sources

Complex soliton wave patterns of Gross–Pitaevskii systems: application in quantum and optical engineering [PDF]

Scientific Reports
The purpose of this work is to explore precise solutions, particularly soliton solutions, by fractionally analyzing the multicomponent Gross–Pitaevskii problem, a basic nonlinear Schrödinger equation. Soliton solutions are essential for comprehending the
Muhammad Bilal, Yazen M. Alawaideh, Shafqat Ur Rehman, Ioan-Lucian Popa, Bashar M. Al-khamiseh, Hala Ghannam   +5 more
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Solitary and soliton solutions of the nonlinear fractional Chen Lee Liu model with beta derivative [PDF]

Scientific Reports
The nonlinear Chen-Lee-Liu (NCLL) model is a crucial mathematical model for assessing optical fiber communication systems. It incorporates various factors, including noise, dispersion, and nonlinearity, which can influence signal quality and data ...
Akhtar Hussain, Tarek F. Ibrahim, Faizah D. Alanazi, Waleed M. Osman, Arafa A. Dawood, Jorge Herrera   +5 more
doaj   +2 more sources

New (3+1)-dimensional nonlinear evolution equation: multiple soliton solutions

Open Engineering, 2014
AbstractIn this work, we introduce an extended (3+1)-dimensional nonlinear evolution equation. We determine multiple soliton solutions by using the simplified Hirota’s method. In addition, we establish a variety of travelling wave solutions by using hyperbolic and trigonometric ansatze.
Wazwaz Abdul-Majid
doaj   +2 more sources

Novel multiple soliton solutions for some nonlinear PDEs via multiple Exp-function method

Results in Physics, 2021
In this work, the analytic solutions for different types of nonlinear partial differential equations are obtained using the multiple Exp-function method.
Kottakkaran Sooppy Nisar, Onur Alp Ilhan, Sadiq Taha Abdulazeez, Jalil Manafian, Sizar Abid Mohammed, M.S. Osman   +5 more
doaj   +1 more source

N-lump and interaction solutions of localized waves to the (2 + 1)-dimensional generalized KP equation

Results in Physics, 2021
With the aid of the binary Hirota polynomial scheme, the bilinear form of the generalized (3 + 1)-dimensional Kadomtsev-Petviashvili equation, is constructed.
Haixia Zhang, Jalil Manafian, Gurpreet Singh, Onur Alp Ilhan, Angelina Olegovna Zekiy   +4 more
doaj   +1 more source

Traveling Wave Solutions and Conservation Laws of a Generalized Chaffee–Infante Equation in (1+3) Dimensions

Universe, 2023
This paper aims to analyze a generalized Chaffee–Infante equation with power-law nonlinearity in (1+3) dimensions. Ansatz methods are utilized to provide topological and non-topological soliton solutions.
Motshidisi Charity Sebogodi, Ben Muatjetjeja, Abdullahi Rashid Adem   +2 more
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Various breathers, Lumps, line solitons and their interaction solutions for the (2+1)-dimensional variable-coefficient Sawada–Kotera equation

Results in Physics, 2022
The main concern of this paper is to investigate the various of interaction solutions to the (2+1)-dimensional variable-coefficient Sawada–Kotera equation. Analytical one-, two-, three- and four-soliton solutions of this equation are constructed based on
Shijie Zeng, Yaqing Liu, Xin Chen, Wen-Xin Zhang   +3 more
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Multiple soliton, M-lump and interaction solutions to the (3+1)-dimensional soliton equation

Results in Physics, 2023
One of the most effective ways to understand nonlinear quantum systems is with lump solutions. The objective of this study is to acquire more about the (3+1)-dimensional soliton equation.
Hajar F. Ismael, Tukur Abdulkadir Sulaiman, Harivan R. Nabi, Nehad Ali Shah, Thongchai Botmart   +4 more
doaj   +1 more source

New dynamical behaviors for a new extension of the Shallow water model

Results in Physics, 2022
The aim of this work, is to construct some novel solutions for a new extension of the shallow water model in (3+1)-dimensions. Based on two methods namely; simplified Hirota’s method and a long-wave method a class of solutions are reported.
Jian-Guo Liu, Hajar F. Ismael, Hasan Bulut   +2 more
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